Question

calcule o valor da expressao

Answer 1

$\sqrt{ ( \frac{2,133}{5+ \frac{1}{3} } )^{-3} } = \\ \\ = \sqrt{ ( \frac{2,133}{ \frac{3.5+1}{3} } )^{-3} } = \\ \\ \sqrt{ ( \frac{2,133}{ \frac{16}{3} } )^{-3} } = \sqrt{ ( \frac{2,133.3}{16} )^{-3} } = \sqrt{ ( \frac{6,133}{16} )^{-3} } \\ \\ = \sqrt{ ( \frac{16}{6,133} )^{3} } = \sqrt{ \frac{ 16^{3} }{ 6,133^{3} } } \\ \\ \\= \sqrt{ \frac{ (2^{4} )^{3} }{ 6,133^{3} } } = \sqrt{ \frac{ 2^{12} }{ (6,133)^{2}.6,133 } } = \\ \\ =\frac{ \sqrt{ 2^{12} } }{ \sqrt{ 6,133^{2}.6,133 } } =$

$\frac{ 2^{6}}{6,133 \sqrt{6,133} } = \frac{ 64}{6,133 \sqrt{6,133} } = \frac{10,44}{ \sqrt{6,133} } =4,21$